Abstract
AbstractWe study various classes of random processes defined on the regular tree Td that are invariant under the automorphism group of Td. The most important ones are factor of i.i.d. processes (randomized local algorithms), branching Markov chains and a new class that we call typical processes. Using Glauber dynamics on processes we give a sufficient condition for a branching Markov chain to be factor of i.i.d.
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